Computational and Applied Mathematics

, Volume 37, Issue 4, pp 5395–5409 | Cite as

Robust and non-fragile finite time \({H_\infty }\) synchronization control for complex networks with uncertain inner coupling

  • Nannan Ma
  • Zhibin Liu
  • Lin Chen


This paper addresses robust finite time \({H_\infty }\) synchronization problem for non-fragile complex networks with uncertain inner coupling. In order to achieve synchronization, a non-fragile controller subjected to randomly occurring perturbations will be considered. By constructing a suitable Lyapunov–Krasovskii functional and utilizing reciprocally convex approach, the criteria for the networks are established in terms of linear matrix inequalities (LMIs). Theoretical analysis and numerical simulations about robust finite time \({H_\infty }\) synchronization for uncertain inner coupling complex networks are presented.


Complex network Finite time synchronization Uncertain Non-fragile \({H_\infty }\) control 

Mathematics Subject Classification

93C42 93C73 



This work was financially supported applied fundamental research (Major frontier projects) of Sichuan Province (No. 16JC0314). The authors would like to thank the editor and anonymous reviewers for their many helpful comments and suggestions to improve the quality of this paper.


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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018

Authors and Affiliations

  1. 1.School of ScienceSouthwest Petroleum UniversityChengduPeople’s Republic of China

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